A086651 a(1)=1, a(2)=1 and for n>2, a(n) is the smallest positive integer such that the third order absolute difference gives the Fibonacci numbers A000045 = {1,1,2,3,5,8,...}.

1, 1, 2, 5, 5, 10, 23, 23, 2, 57, 57, 146, 379, 379, 2, 989, 989, 2586, 6767, 6767, 2, 17713, 17713, 46370, 121395, 121395, 2, 317813, 317813, 832042, 2178311, 2178311, 2, 5702889, 5702889, 14930354, 39088171, 39088171, 2, 102334157, 102334157